We read your photo as:

If the inclined angle between two plane mirrors is 60, Calculate the No. of Image formed.

Physics

ScanSolve AI Answer

Answers

2 parts
2
5
3

M=66∘,N=66∘M = 66^\circ, N = 66^\circ

Step-by-step solution

6 steps

Here are the solutions to the questions you've provided.

Part 2· 3 steps

  1. Identify the given angle.

    The inclined angle between the two plane mirrors is θ=60∘\theta = 60^\circ.

  2. State the formula for the number of images formed.

    The number of images (nn) formed by two plane mirrors inclined at an angle θ\theta is given by the formula:

    n=360∘θ−1n = \frac{360^\circ}{\theta} - 1

    This formula is used when 360∘θ\frac{360^\circ}{\theta} is an even integer, or when it's an odd integer and the object is placed symmetrically. For an even integer, it always applies.

  3. Substitute the given angle into the formula and calculate.

    n=360∘60∘−1n = \frac{360^\circ}{60^\circ} - 1 n=6−1n = 6 - 1 n=5n = 5

    The number of images formed is 5\boxed{5}.

Part 3

M=66∘,N=66∘M = 66^\circ, N = 66^\circ

Assumption: The angle marked '249' in the diagram is 24∘24^\circ, representing the angle between the reflected ray and the mirror surface.

  1. Identify the angles from the diagram and the law of reflection.

    The diagram shows a mirror surface (horizontal line) and a normal (vertical line perpendicular to the mirror).
    Angle M is the angle of incidence (between the incident ray and the normal).
    Angle N is the angle of reflection (between the reflected ray and the normal).
    The angle between the reflected ray and the mirror surface is given as 24∘24^\circ.

  2. Calculate the angle of reflection (N).

    The normal is perpendicular to the mirror surface, so the angle between the normal and the mirror surface is 90∘90^\circ.
    Therefore, the angle of reflection (N) and the angle between the reflected ray and the mirror surface (24∘24^\circ) sum to 90∘90^\circ.

    N+24∘=90∘N + 24^\circ = 90^\circ N=90∘−24∘N = 90^\circ - 24^\circ N=66∘N = 66^\circ
  3. Calculate the angle of incidence (M).

    According to the Law of Reflection, the angle of incidence is equal to the angle of reflection.

    M=NM = N M=66∘M = 66^\circ

    The angles are M=66∘,N=66∘\boxed{M = 66^\circ, N = 66^\circ}.

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question